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Solve 8x + 3 = 51

The solution of 8x + 3 = 51 is x = 6.

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The lines y = 8x + 3 and y = 51 meet at x = 62468101220406080100x = 6y = 8x + 3y = 51
The lines y = 8x + 3 and y = 51 meet at x = 6. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    8x+3=518x + 3 = 51
  2. 2

    Subtract 3 from both sides:

    8x+3−3=51−3 ⇒ 8x=488x + 3 - 3 = 51 - 3 \ \Rightarrow\ 8x = 48
  3. 3

    Divide both sides by 8:

    8x8=488 ⇒ x=6\frac{8x}{8} = \frac{48}{8} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    8⋅6+3=48+3=51✓8\cdot6 + 3 = 48 + 3 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 3 = 51\ \Rightarrow\ x = 6 \]
\[ 8x + 3 = 51 \]
\[ 8x + 3 - 3 = 51 - 3 \ \Rightarrow\ 8x = 48 \]
\[ \frac{8x}{8} = \frac{48}{8} \ \Rightarrow\ x = 6 \]
\[ 8\cdot6 + 3 = 48 + 3 = 51 \checkmark \]

Trying values of x in 8x + 3 = 51

x8x + 3Equals 51?
435no
543no
651yes
759no
867no

Questions

What is x in 8x + 3 = 51?

The solution of 8x + 3 = 51 is x = 6.

How do you solve 8x + 3 = 51?

Subtract 3 from both sides to get 8x = 48, then divide both sides by 8 to get x = 6.

How do I check the answer?

Replace x by 6: 8(6) + 3 = 51, which is 51.

Similar equations

    Solve 8x + 3 = 51: x = 6 (steps and check) | WordGPT